9. Let $x$ be a variable that takes real values, and let $f ( x ) , g ( x ) , h ( x )$ be three polynomials with real-valued coefficients. Further, let $f ( x )$ be a polynomial of degree $1 , g ( x )$ a polynomial of degree 2 , and $h ( x )$ a polynomial of degree 3 . Which of the following statements is/are always true for any three polynomials of these types? (a) The graphs of $f ( x )$ and $g ( x )$ intersect at one or more points. (b) The graphs of $f ( x )$ and $h ( x )$ intersect at one or more points. (c) The graphs of $g ( x )$ and $h ( x )$ intersect at one or more points.
9. Let $x$ be a variable that takes real values, and let $f ( x ) , g ( x ) , h ( x )$ be three polynomials with real-valued coefficients. Further, let $f ( x )$ be a polynomial of degree $1 , g ( x )$ a polynomial of degree 2 , and $h ( x )$ a polynomial of degree 3 . Which of the following statements is/are always true for any three polynomials of these types?\\
(a) The graphs of $f ( x )$ and $g ( x )$ intersect at one or more points.\\
(b) The graphs of $f ( x )$ and $h ( x )$ intersect at one or more points.\\
(c) The graphs of $g ( x )$ and $h ( x )$ intersect at one or more points.\\